Arhombus is constructed on side ad of figure abcd such that fa lies on ab←→ as shown. if ad : ab = 2 : 5, what is the x-coordinate of point f?
a.) 1.7
b.) 2.9
c.) 3.8
d.) 4.4

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?